2i(3+4i)=

Solution for 2i(3+4i)= equation:

Simplifying
2i(3 + 4i) = 0
(3 * 2i + 4i * 2i) = 0
(6i + 8i2) = 0

Solving
6i + 8i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2i'.
2i(3 + 4i) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

Move all terms containing i to the left, all other terms to the right.

Simplifying
i = 0
Subproblem 2
Set the factor '(3 + 4i)' equal to zero and attempt to solve:

Simplifying
3 + 4i = 0

Solving
3 + 4i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 4i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4i = 0 + -3
4i = 0 + -3

Combine like terms: 0 + -3 = -3
4i = -3

Divide each side by '4'.
i = -0.75

Simplifying
i = -0.75
Solution
i = {0, -0.75}